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Finding the Fourth Proportional to 350.96, 525.94 and 188.28

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Solution

The fourth proportional to 350.96, 525.94 and 188.28 is: 282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.96 : 525.94 = 188.28 : x
  2. Step 2: Convert to fraction form
    350.96/525.94 = 188.28/x
  3. Step 3: Cross multiply
    350.96x = 525.94 × 188.28
  4. Step 4: Simplify right side
    350.96x = 99,023.98
  5. Step 5: Solve for x
    x = 99,023.98/350.96
  6. Step 6: Final answer
    x = 282.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.